Parabola The purpose of this discussion is to: find an equation to a real-life situation such as the problem described below. Suppose the staging platform for a fireworks display is 6 ft above ground, and the mortars leave the platform at  96 ft/sec. The height of mortars h(t) (in feet) can be modelled by, h(x) = -16t^2 + 96t + 6 where t is the time  in seconds after launch: Find the following 1.  If the fuses are set for 3 sec after launch, at what height will the fireworks explode? 2.  Will the fireworks explode at their maximum height? Explain Instruction:  Discuss the fact why it is a parabola problem. Set up an equation of the form:  h(x) = a(t-h)^2 + k Use the vertex formula to write the equation and solve the problem above.

Q: An African population of fennec foxes was 4500 foxes. Thanks to conservation efforts the fox…

A: Equation of the function is given as y=4500*1.06x We also have the graph of equation below  It is…

Q: During his weather report after the last snowstorm, a Baltimore meteorologist reported the low…

A:

Q: 2. A projectile is fired from a cliff 200 meter above the water at an inclination of 45° to the…

A: Given situation in picture:

Q: The population of a fast-growing city in Texas can be modeled with the equation p (t) = 82 -…

A:

Q: 9.

A:

Q: Graph

A: To Determine: graph of the function Given: we have a function which is rational fx=3x2x2+5…

Q: Find the equation of the tangent line to the graph of the function ?(?) = −(? + 8)2 + 4 at the point…

A:

Q: Graph the equation

A: First simplify the equation H(x)=2-2xx2-1 before graphing it. Use the formula a2-b2=a+ba-b to…

Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

A:

Q: How do you prove step by step that this equation: y=2x+1 is a function?

A: The solution are next step

Q: Graph the function y=(3)/(2)x+2

A: See the attachment

Q: (b) Tara's aunt invests $2000 for her when she is born. The interest rate is 3.5% per year. This…

A: (b) i) Let the required time be T years.      Then, we must have              2000×(1.035)T = 2250…

Q: What is the equation of the function for a parabola that moves 2 units to the right of the origin, 2…

A: Given parent function is f(x)=x2

Q: I am on a planet whose acceleration due to gravity is g=6 ft/s2. I'm standing on a cliff edge with…

A: Consider the equation

Q: Let f(x)=0.5x²-x-7. Solve each equation graphically to two decimal places. (A) f(x) = 4 (B) f(x) =…

A:

Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z2 =…

A: This is a problem of 3 dimensional equation. Multi-variable calculus.

Q: Graph the equation: f(x) = (x+1)^3 - 5 Please include coordinates as well as vertical…

A:

Q: The robotic arm you are working with extends to pick up components at various speeds. Its extension…

A: Step 1: Step 2: Step 3: Step 4:

Q: 5. The height, h(t), in feet, of an object shot from a cannon with initial velocity of 20 feet per…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.